Papers by Keyword: Hyperbolic Tangent Function

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Authors: Qiang Wang
Abstract: To meet requirements of time data dynamic growth , and reflect the different effect to the different segment of time series over time, a new method of piecewise linear representation, called tangent piecewise aggregate approximation (TPAA) is proposed based on hyperbolic tangent function. The method can not only meet requirements of time data dynamic growth, but also reflect time property of the time series. Compared with the existing methods, TPAA method can effectively query time series online.
Authors: Fu Qing Tian, Rong Luo
Abstract: In the paper, a new variable step size LMS algorithm based on modified hyperbolic tangent is presented. In the algorithm, the step size is adjusted by the estimation of the autocorrelation between and .The algorithm introduces the compensation monomial to improve the convergence and the parameters to improve the shape and bottom characteristic of hyperbolic tangent. Therefore, the algorithm has faster convergence, better performance of noise suppression,lower steady state error and misadjustment. The theoretical analysis and simulation results all show that the overall performance of the new algorithm exceeds greatly some existent others under low SNR condition.
Authors: Chang Hong Guo, Xiang Dong Liu, Shao Mei Fang
Abstract: This paper studies the exact traveling wave solutions to a model for solid-solid phase transitions driven by configurational forces. The model consists of the partial differential equations of linear elasticity coupled to a quasilinear nonuniformly parabolic equation of second order, which describes the diffusionless phase transitions of solid materials. By using the hyperbolic tangent function expansion method and homogeneous balance method, some exact traveling wave solutions, including solitary wave solutions are obtained for the phase transitions model in one space dimension.
Authors: Zhi Fang Liu, Yuan Yuan He, Shan Yuan Zhang
Abstract: A nonlinear waves equation of an elastic circular rod taking account of finite deformation and transverse Poisson effect is derived by means of Hamilton variation principle in this paper. Nonlinear wave equation and corresponding truncated nonlinear wave equation are solved by the hyperbolic tangent function and cotangent function finite expansion method. Two different types of exact traveling wave solutions, the shock wave solution and the solitary wave solution are obtained. The necessary condition of these solutions existence is given also.
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